Adding In-Plane Flexibility to the Equations of Motion of a Single Rotor Helicopter

Adding In-Plane Flexibility to the Equations of Motion of a Single Rotor Helicopter

Author: National Aeronautics and Space Administration (NASA)

Publisher: Createspace Independent Publishing Platform

Published: 2018-06-15

Total Pages: 40

ISBN-13: 9781721198177

DOWNLOAD EBOOK

This report describes a way to add the effects of main rotor blade flexibility in the in- plane or lead-lag direction to a large set of non-linear equations of motion for a single rotor helicopter with rigid blades(l). Differences between the frequency of the regressing lag mode predicted by the equations of (1) and that measured in flight (2) for a UH-60 helicopter indicate that some element is missing from the analytical model of (1) which assumes rigid blades. A previous study (3) noted a similar discrepancy for the CH-53 helicopter. Using a relatively simple analytical model in (3), compared to (1), it was shown that a mechanical lag damper increases significantly the coupling between the rigid lag mode and the first flexible mode. This increased coupling due to a powerful lag damper produces an increase in the lowest lag frequency when viewed in a frame rotating with the blade. Flight test measurements normally indicate the frequency of this mode in a non-rotating or fixed frame. This report presents the additions necessary to the full equations of motion, to include main rotor blade lag flexibility. Since these additions are made to a very complex nonlinear dynamic model, in order to provide physical insight, a discussion of the results obtained from a simplified set of equations of motion is included. The reduced model illustrates the physics involved in the coupling and should indicate trends in the full model. Curtiss, H. C., Jr. Ames Research Center


Foundations of Helicopter Flight

Foundations of Helicopter Flight

Author: S. Newman

Publisher: Elsevier

Published: 1994-04-07

Total Pages: 317

ISBN-13: 0080928544

DOWNLOAD EBOOK

The unique design problems which helicopters produce are many and complex. Through practical examples and illustrated case studies, supported by all the relevant theory, this primer text provides an accessible introduction which guides the reader through the theory, design, construction and operation of helicopters. Fundamental performance and control equations are developed, from which the book explores the rotor aerodynamic and dynamic characteristics of helicopters. Example calculations and performance predictions, reflecting current practice, show how to assess the feasibility of a design.* Tackles the theory, design, construction and operation of helicopters* Illustrated with many practical examples and case studies* Provides the fundamental equations describing performance and dynamic behaviour